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Jan 142:56 PM
Module 9 lesson 3:
Order of Operations
Objective: Write and evaluate expressions involving whole number exponents
9/12/01 8:06 AM
Animal CostAnteater 500Spider Monkey 50Hippo 100Owl 50Tapir 100Fishing Cat 50
How much would it cost to adopt 1 hippo, 4 fishing cats, and 3 tapirs?
9/12/01 8:09 AM
When more than one operation is used, we need to know which one to perform first so that everyone gets the same results.
9/12/01 8:10 AM
1. Do all operations within grouping symbols ( )2. Evaluate all powers before other operation3. Multiply and divide in order from left to right4. Add and Subtract from left to right
Order of operations:
PEMDAS
9/12/01 8:12 AM
Find the value of each expression
(15 + 7) 3 3 + 6 x (4 2)
9/12/01 8:11 AM
8 3 2 + 7
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9/12/01 8:11 AM
14 7 + 12 x 3 9
9/12/01 8:14 AM
14 + 3(72) 2 5
Sep 12 8:38 AM
24 3 + 5 3
Sep 12 8:39 AM
7 + (8 7 + 2)2
Sep 12 8:40 AM
(2 + 10) 4 2
Jan 143:03 PM
12 + [(16 4) + (12 9)]
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January 04, 2017
Jan 157:19 AM
5 x [(26 4) (4 +6)]
Jan 157:20 AM
4 + [(164) + (12 9)]
Jan 157:20 AM Jan 157:21 AM
1
Order of Operations
Additional Example 1
Simplify each expression.
1/7
A 30 – 3 × 23
B 128 ÷ (4 × 2)2
2
2/7
Simplify each expression.
C 32
Order of Operations
Additional Example 1
_______ (7 – 5)3
40 –
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3
3/7
A 128 ÷ (4 × 2)2
B
Order of Operations
Additional Example 2
82 – (5 + 3)2
Additional Example 2 Simplify each expression using the order of operations.
4
4/7
Order of Operations
C
Additional Example 2
Additional Example 2 Simplify each expression using the order of operations.
(1 + 3)2_______ 2
15 –
5
Lesson Quiz
5/7
Order of Operations
Simplify each expression using the order of operations.
1. 3 + (7 – 5)2 × 6
2. 25_______ (4 + 4)
× 2
6
6/7
Lesson Quiz
Order of Operations
Simplify each expression using the order of operations.
3. 8 – 6 ÷ 2 + 3 × 5
4. 7 × 3 – 15 ÷ 5
7
7/7
Order of Operations
Lesson Quiz
Simplify each expression using the order of operations.
5. 8 + 2(1 + 12 ÷ 2)2
a1
1/7
6
Order of Operations
Simplify each expression.
30 – 3 × 23
128 ÷ (4 × 2)2
Additional Example 1
A
B
2
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a2
2/7
36
Order of Operations
Simplify each expression.
C 32
Additional Example 1
_______ (7 – 5)3
40 –
a3
3/7
0
2
Order of Operations
Simplify each expression using the order of operations.
A 128 ÷ (4 × 2)2
B
Additional Example 2
82 – (5 + 3)2
a4
4/7
7
Order of Operations
C
Simplify each expression using the order of operations.
Additional Example 2
(1 + 3)2_______ 2
15 –
a5
5/7
27
Order of Operations
Lesson Quiz
Simplify each expression using the order of operations.
1. 3 + (7 – 5)2 × 6
2. 25_______ (4 + 4)
× 2
8
a6
6/7
Order of Operations
Lesson Quiz
20
Simplify each expression using the order of operations.
3. 8 – 6 ÷ 2 + 3 × 5
4. 7 × 3 – 15 ÷ 5
18
a7
7/7
Lesson Quiz
Order of Operations
57
Simplify each expression using the order of operations.
5. 8 + 2(1 + 12 ÷ 2)2